The temperature in Quebec City was 5 degrees Celsius at 4 pm. By midnight, the temperature dropped 15 degrees.

A number line has points negative 20, blank, A, B, 0, 5, C, blank, D.

Which point is a representation of the colder midnight temperature in degrees Celsius?
Point A
Point B
Point C
Point D

Step-by-step explanation:

the numbers of the yellow and white counters

= 288- 38 = 250.

the ratio of yellow to white = 1:4

so,

the numbers of the yellow counters =

1/(1+4) × 250 =1/5 ×250 = 50

the numbers of the white counters =

4/(1+4) ×250 = 4/5 ×250 = 200

and the numbers of the red counters = 38

Answer:

-3, -2, -1, 0, 1, 2, 3, 4

Step-by-step explanation:

Domain is just a fancy way of saying the x-values anything that is part of the line and is on the x-axis is a domain.

Hope that helps and have a great day!

Answer:

- 3, 4

Step-by-step explanation:

The domain is the first coordinate which means that it is x. The two points on this graph are ( - 3, 4 ) and ( 4, - 5 ). The two first coordinates of this set of ordered pairs are - 3 and 4. This means that - 3 and 4 are the domain of the graph.

Hope This Helps :)

For the function y = 3sin[2(θ-90°)] + 2, the amplitude is 3, the period is π, the phase shift is -45° and the vertical shift is 2 units up.

The amplitude of a sine function represents the maximum displacement from the midline.

The coefficient in front of the sine function is 3, so the amplitude is 3.

The period of a sine function is the length of one complete cycle. It can be calculated using the formula T = 2π/b, where b is the coefficient of θ inside the sine function brackets.

Here, b = 2, so the period is T = 2π/2 = π.

The phase shift of a sine function indicates a horizontal shift to the left or right.

In this case, c = 90°, so the phase shift is θ = 0° - 90°/2 = -45°.

The vertical shift indicates a shift up or down on the y-axis.

The constant term outside the sine function is 2, so the vertical shift is 2 units up.

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Answer:

9

Step-by-step explanation:

9

1) The area of the garden in Design A and Design B is 108 \(feet^{2}\)and 84\(feet^{2}\)

2)The area of the deck not including the garden in Design A and Design B is 342 \(feet^{2}\)and 372 \(feet^{2}\)

3)The cost of $4.20 per \(feet^{2}\)required to install the deck in Design A and Design B is $1890 and $1764 respectively

4) The cost of $1.40 per \(feet^{2}\)required to install the garden in Design A and Design B is $151.2 and $117.6

5)Mr. and Mrs. Harper would like to choose Design A because its most affordable than Design A.

Therefore Mr. and Mrs. Harper save money $159.6.

1) The area of the rectangular garden in design A

Area = length * width

From the fig, length = 9 feet

                      width = 12 feet

Area = 12 * 9 = 108 \(feet^{2}\)

The area of the triangular garden in Design B

From the fig, Height = 12 feet

                     base = 14 feet

Therefore the area of the triangle = \(\frac{1}{2} * base *height\\\frac{1}{2} * 14 * 12\)

                                                         = 84 \(feet^{2}\)

2) The area of the rectangular deck is in design A

Area = length * width

        = 18 * 25

        = 450 \(feet^{2}\)

The area of the rectangular deck is in design B

Area = length * width

        = 21 * 20

        = 420 \(feet^{2}\)

The area of the rectangular deck without a  rectangular garden in design A is =

= 450 - 108 = 342 \(feet^{2}\)

The area of the rectangular deck without a triangular garden in design B is =

= 420 - 84\(feet^{2}\) = 372 \(feet^{2}\)

3) The cost of $4.20 per \(feet^{2}\)required to install the deck in Design A and Design B

Therefore the total cost required to install the deck in design A

= 450 * 4.20

= $ 1890

Therefore the total cost required to install the deck in Design B

= 420 * 4.20

= $ 1764

4) The cost of $1.40 per \(feet^{2}\)required to install the garden in Design A and Design B

Therefore the total cost required to install the garden in design A

= 108 * 1.40

= $ 151.2

Therefore the total cost required to install the garden in Design B

= 84 * 1.40

= $ 117.6

5) Mr. and Mrs. Harper would like to choose Design A because its most affordable than Design A.

Mr. and Mrs. Harper save money if they choose design B over design A

= (1890 + 151.2) - (1764 +117.6)

= 2041.2 - 1881.6

= $159.6

Therefore Mr. and Mrs. Harper save money $159.6.

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Answer:

xy  - x + 5y - 1

Step-by-step explanation:

hope this helps

Answer:

5

Step-by-step explanation:

All you would have to do is read the question. Because if it is like a block than it couldn't be any closer to the bottom than five inches.

Answer:

A. -3

Step-by-step explanation:

x=0 at y= -3.

Answer:

What are the zeroes of the function?

–3

–2

2

3

5

2, 3, 5 is the answer

Step-by-step explanation:

Answer: Verbs are words that describe an action

Step-by-step explanation:

Examples:

She was running at the park.

He swam in the ocean.

The plane flew past my house.

Verbs are words that a word used to describe an action, state, or occurrence, and forming the main part of the predicate of a sentence, such as hear, become, happen. A sentence of a Vern inside it is, “You were a great singer!” See, in this sentence the verb would be were since it was describing an action.

We can say that the tree's height increased by 12.5% over the course of the six-week experiment.

To calculate the percent increase in the tree's height, we need to find the difference between its new height and its old height, and then express that difference as a percentage of the old height.

We start with the formula:

percent increase = (new value - old value) / old value * 100%

In this case, the old value is the height of the tree at the beginning of the experiment, which is 32 inches. The new value is the height of the tree six weeks later, which is 36 inches.

So, plugging in those values, we get:

percent increase = (36 - 32) / 32 * 100%

Simplifying this expression gives us:

percent increase = 4 / 32 * 100%

And when we evaluate that expression, we get:

percent increase = 12.5%

Therefore, the percent increase in the tree's height is 12.5%.

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Answer:

b = 9.2 (Rounded to the nearest tenth)

Step-by-step explanation:

ABC is a right-angled triangle at B.

Then ,according to the Pythagorean theorem:

\(b = \sqrt{a^2 + c^2}\)

  \(= \sqrt{6^2 + 7^2}\)

 \(= \sqrt{36 + 49}\)

 \(= \sqrt{85}\)

 \(=9.219544457293\)

If he wants an average of 84, he needs to get at least 93 points.

Remember that the average value between 3 values A, B, and C is:

(A + B + C)/3

Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:

(76 + 83 + x)/3 = 84

159 + x = 252

x = 252 - 159

x = 93

So he needs to get at least 93 points in the next exam.

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The correct equation of the circle with center (0,0) that passes through the point (-6,-6) is:

(x + 6)² + (y + 6)² = 72

Please note that the equation represents the circle with center (0,0) and radius √72.\(\)

Answer:

The equation of a circle with center (0,0) that passes through the point (-6,-6) is:

(x - 0)² + (y - 0)² = r²

where r is the radius of the circle. Since the center of the circle is (0,0), we can use the distance formula to find the radius:

r = √(0 - (-6))² + (0 - (-6))² = √(6² + 6²) = √72

Therefore, the equation of the circle is:

x² + y² = 72

Answer:

1728

Step-by-step explanation:

Volume=length*width*height

Vol=18*8*12=1728 cubic inches

The area of the park is 12 square units.

To find the area of the park, we can use the Shoelace Formula (also known as Gauss's area formula). This formula allows us to calculate the area of any polygon given the coordinates of its vertices.

The Shoelace Formula states that if we have the coordinates of the vertices of a polygon in counterclockwise order (x₁, y₁), (x₂, y₂), ..., (xn, yn), then the area (A) of the polygon is given by:

A = 1/2 × |(x₁y₂ + x₂y₃ + ... + xn-1yn + xny₁) - (y₁x₂ + y₂x₃ + ... + yn-1xn + ynx₁)|

In our case, the coordinates of the park's vertices are (-9, -9), (-3, -9), and (-6, -5). Let's calculate the area using the Shoelace Formula:

A = 1/2 × |(-9 × -9 + -3 × -5 + -6 * -9) - (-9 × -3 + -9 × -6 + -5 × -9)|

Simplifying further:

A = 1/2 × |(81 + 15 + 54) - (27 + 54 + 45)|

A = 1/2 × |150 - 126|

A = 1/2 × |24|

A = 12

Therefore, the area of the park is 12 square units.

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Answer:

---------------------

Plot the given vertices and connect.

See attached.

Then add the height CD.

The base is AB, with the length:

The height is CD, with length:

Find the area using equation:

Answer:

Simplify

(

x

−

3

)

(

x

+

2

)

(

x

+

3

)

.

f

(

x

)

=

x

3

+

2

x

2

−

9

x

−

18

Answer:

count all of the weight on the right side, subtract 4 pounds from both sides, and divide it by 2.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Do you know the first step of this equation

Answer:

hope it helps ...........

Answer:

d = 5.8

Step-by-step explanation:

This what we know...

d + 3/15 = 6

   - 3/15   -3/15       (Subtract 3/15 from both sides)

d = 5.8

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

$200

Step-by-step explanation:

thx hope this helped u

The cost of one adult ticket is 3.6 and cost of one student ticket is 4.3

Either 4 or is the appropriate response.

Chris spends a total of 2 x + 3 dollars on x student tickets and a total of x adult tickets because each student ticket costs $ 2 and each adult ticket costs $ 3.

Because Chris spends at least $ 11 but no more than $ 14 on the tickets, the entire inequality 2 x + 3 1 can be written.

x = 4 and x = 5.5 are obtained by subtracting 3 from each side of both inequalities and then dividing each side of both inequalities by 2.

A number higher than or equal to 4 and less than or equal to 5.5 must both be integers in order for x to have a value.

Therefore, either x = 4 or x = 5.

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Answer:

We can use a Venn diagram to visualize the information given in the problem.

Let M, B, and C represent the sets of students who pass mathematics, biology, and chemistry, respectively. We are given the following information:

|M| = 10 (the number of students who pass mathematics)

|B| = 30 (the number of students who pass biology)

|C| = 25 (the number of students who pass chemistry)

|M ∩ B| = 11 (the number of students who pass both mathematics and biology)

|B ∩ C| = 10 (the number of students who pass both biology and chemistry)

|M ∩ C| = 7 (the number of students who pass both mathematics and chemistry)

|M ∩ B ∩ C| = ? (the number of students who pass all three subjects)

We know that:

| M ∪ B ∪ C | = |M| + |B| + |C| - |M ∩ B| - |B ∩ C| - |M ∩ C| + |M ∩ B ∩ C|

Substituting the given values:

| M ∪ B ∪ C | = 10 + 30 + 25 - 11 - 10 - 7 + |M ∩ B ∩ C|

Simplifying:

| M ∪ B ∪ C | = 37 + |M ∩ B ∩ C|

We also know that:

| M ∪ B ∪ C | = 70 (the total number of students)

Substituting the value:

70 = 37 + |M ∩ B ∩ C|

Simplifying:

|M ∩ B ∩ C| = 33

Therefore, 33 students pass all three subjects.

Step-by-step explanation:

pls mark branliest i beggggg u

The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.

To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:

Compound Interest =P(1+r/n)^rt

Substituting the given values, we get:

Compound Interest =600 (1+7/n)^4

Simplifying this equation, we get

P = 600 / 1.487

P = 451.73

Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.

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Answer:

YES

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.

Answer:

The height of the squirrel is 31 feet.

Step-by-step explanation:

You need to know your Right Triangle Trigonometry to do this problem.

Rt Triangle trig is all about ratios. Angles and ratios.

In your question, there is a rt triangle. The side measure given, 28 is next to the angle. The math word for "next to" is "adjacent" You know the adjacent side. The squirrel's height is the opposite side. The ratio that puts together adjacent and opposite is tangent.

tan Angle = opposite/adjacent

tan 48° = x/28

multiply both sides by 28

28•tan48° = x



You have to use a calculator that has trig functions. It will have buttons that say "sin", "cos", and "tan"



Enter 28 × tan48° =

It will return 31.0971504152

Your question asks you to round to the nearest whole.

x = 31

The squirrel's height in the tree is 31ft.

Answer:

Only option E is equivalent to \(5x+6=-8x-18\).

Step-by-step explanation:

Given the expression

(5x+6) over 2 = 3-(4x + 12)

Let us simplify the expression

\(\frac{\left(5x+6\right)}{2}=3-\left(4x+12\right)\)

Multiply both sides by 2

\(\frac{5x+6}{2}\cdot \:2=3\cdot \:2-\left(4x+12\right)\cdot \:2\)

\(5x+6=6-\left(4x+12\right)\cdot \:2\)

Expand -(4x + 12) = -4x - 12

\(5x+6=-8x-18\)

Thus, option E is equivalent to \(5x+6=-8x-18\).

Further solving

\(5x+6=-8x-18\)

Add 8x from to both sides

\(5x+8x=-8x-24+8x\)

Simplify

\(13x=-24\)

Divide both sides

\(\frac{13x}{13}=\frac{-24}{13}\)

Simplify

\(x=-\frac{24}{13}\)

Thus, only option E is equivalent to \(5x+6=-8x-18\).

Answer:

E. 5x + 6 = -8x – 18​

Step-by-step explanation:

Hope this will help

The area of the shaded region is 3915 units².

We have,

Area of the sector.

= 13.08 units²

Now,

To find the area of an isosceles triangle with side lengths 5, 5, and 4 units, we can use Heron's formula.

Area = √[s(s - a)(s - b)(s - c)]

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case,

The side lengths are a = 5, b = 5, and c = 4. Let's calculate the area step by step:

Calculate the semi-perimeter:

s = (5 + 5 + 4) / 2 = 14 / 2 = 7 units

Use Heron's formula to find the area:

Area = √[7(7 - 5)(7 - 5)(7 - 4)]

= √[7(2)(2)(3)]

= √[84]

≈ 9.165 units (rounded to three decimal places)

Now,

Area of the shaded region.

= Area of the sector - Area of the isosceles triangle

= 13.08 - 9.165

= 3.915 units²

Thus,

The area of the shaded region is 3915 units².

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Answer:

1. z=4

2. z=2/3

3. x=1

4. x=3

Step-by-step explanation:

I can't explain just trust me I went through algebra class.

Hope this helps

6z+3=8z-5

6z+3-3=8z-5-3

6z-8z=8z-8z-8

-2z/-2=-8/-2

z=4

3-4z=-5+8z

subtract three from both sides

-4z-8z=-8+8z-8z

-12z/-12=-8/-12

z=2/3

3x-5=x-3

add 5 to both sides

3x-x=x-x+2

2x/2=2/2

x=1

3x+14=11+4x

subtract 14 from both sides

3x-4x=-3+4x-4x

-x/-1=-3/-1

x=3

Answer:

1. z=42. z=2/33. x=14. x=3Step-by-step explanation:I can't explain just trust me I went through algebra class.Hope this helps6z+3=8z-56z+3-3=8z-5-36z-8z=8z-8z-8-2z/-2=-8/-2z=43-4z=-5+8zsubtract three from both sides-4z-8z=-8+8z-8z-12z/-12=-8/-12z=2/33x-5=x-3add 5 to both sides3x-x=x-x+22x/2=2/2x=13x+14=11+4xsubtract 14 from both sides3x-4x=-3+4x-4x-x/-1=-3/-1x=3

Step-by-step explanation: